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131045325045445 = 51755722131250737
BaseRepresentation
bin11101110010111101011110…
…000011000111111011000101
3122011222210220000111120211201
4131302331132003013323011
5114134021311202423240
61142413220301302501
736413466214040236
oct3562753603077305
9564883800446751
10131045325045445
1138834012709668
1212845566264a31
1358176a0bbb735
1424508b00c708d
151023bca057d9a
hex772f5e0c7ec5

131045325045445 has 32 divisors (see below), whose sum is σ = 166879087278048. Its totient is φ = 98447691890688.

The previous prime is 131045325045359. The next prime is 131045325045457. The reversal of 131045325045445 is 544540523540131.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 4298100190596 + 126747224854849 = 2073186^2 + 11258207^2 .

It is a cyclic number.

It is not a de Polignac number, because 131045325045445 - 27 = 131045325045317 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131045325045395 and 131045325045404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104149117 + ... + 105399853.

It is an arithmetic number, because the mean of its divisors is an integer number (5214971477439).

Almost surely, 2131045325045445 is an apocalyptic number.

It is an amenable number.

131045325045445 is a deficient number, since it is larger than the sum of its proper divisors (35833762232603).

131045325045445 is a wasteful number, since it uses less digits than its factorization.

131045325045445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253529.

The product of its (nonzero) digits is 2880000, while the sum is 46.

Adding to 131045325045445 its reverse (544540523540131), we get a palindrome (675585848585576).

The spelling of 131045325045445 in words is "one hundred thirty-one trillion, forty-five billion, three hundred twenty-five million, forty-five thousand, four hundred forty-five".

Divisors: 1 5 17 85 557 2213 2785 9469 11065 37621 47345 188105 1232641 1250737 6163205 6253685 20954897 21262529 104774485 106312645 696660509 2767880981 3483302545 11843228653 13839404905 47053976677 59216143265 235269883385 1541709706417 7708548532085 26209065009089 131045325045445